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Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module

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dc.contributor.author Ivanov, Rossen I.
dc.contributor.author Tuite, Michael P.
dc.date.accessioned 2012-01-09T13:44:08Z
dc.date.available 2012-01-09T13:44:08Z
dc.date.issued 2001
dc.identifier.citation Rossen I. Ivanov and Michael P. Tuite(2001)Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module, Nucl.Phys. B635 (2002) 435-472 en_US
dc.identifier.uri http://hdl.handle.net/10379/2453
dc.description.abstract We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ prime. We show that constraints arising from meromorphic orbifold conformal field theory allow us to demonstrate that each orbifold partition function with rational coefficients is either constant or is a hauptmodul for an explicitly found modular fixing group of genus zero. We thus confirm in the cases considered the Generalised Moonshine conjectures for all rational modular functions for the Monster centralisers related to the Baby Monster, Fischer, Harada-Norton and Held sporadic simple groups. We also derive non-trivial constraints on the possible Monster conjugacy classes to which the elements of the orbifolding abelian group may belong.
dc.format application/pdf en_US
dc.language.iso en en_US
dc.subject Mathematics - Quantum Algebra
dc.subject High Energy Physics - Theory
dc.subject Mathematics - Group Theory
dc.title Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/math/0106027 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Rossen I. Ivanov and Michael P. Tuite
dc.local.arxivid math/0106027

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